Theorems · Theorem · category theory

CategoryTheory.Adjunction.unit_naturality

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {F : CategoryTheory.Functor C D} {G : CategoryTheory.Functor D C} (adj : F ⊣ G) {X Y : C} (f : X ⟶ Y),
  CategoryTheory.CategoryStruct.comp (adj.unit.app X) (G.map (F.map f)) =
    CategoryTheory.CategoryStruct.comp f (adj.unit.app Y)

Defined in

Mathlib.CategoryTheory.Adjunction.Basic

Cited by

12 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category